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5929 = 72112
BaseRepresentation
bin1011100101001
322010121
41130221
5142204
643241
723200
oct13451
98117
105929
114500
123521
132911
142237
151b54
hex1729

5929 has 9 divisors (see below), whose sum is σ = 7581. Its totient is φ = 4620.

The previous prime is 5927. The next prime is 5939. The reversal of 5929 is 9295.

Multipling 5929 by its sum of digits (25), we get a square (148225 = 3852).

It can be divided in two parts, 59 and 29, that multiplied together give a triangular number (1711 = T58).

5929 = T76 + T77.

5929 = 182 + 192 + ... + 282.

The square root of 5929 is 77.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 5929 - 21 = 5927 is a prime.

Its product of digits (810) is a multiple of the sum of its prime divisors (18).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 534 + ... + 544.

5929 is the 77-th square number and also the 49-th heptagonal number.

5929 is the 39-th centered octagonal number.

It is an amenable number.

5929 is a deficient number, since it is larger than the sum of its proper divisors (1652).

5929 is a wasteful number, since it uses less digits than its factorization.

5929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 18 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The cubic root of 5929 is about 18.0992460234.

The spelling of 5929 in words is "five thousand, nine hundred twenty-nine".

Divisors: 1 7 11 49 77 121 539 847 5929